Solving physics pde's using Gabor multipliers

Michael P. Lamoureux, Gary F. Margrave, Safa Ismail

We develop the mathematical properties of Gabor multipliers, which are a nonstationary version of Fourier multipliers. Some difficulties with current practice are identified, a functional calculus for combining the operators is given, and some indications for including corrections terms are noted. These techniques are motivated by the need for nonstationary data processing methods to model seismic wave propagation in nonhomogeneous media.